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Finding the Fourth Proportional to 686.48, 1,029.09 and 275.54

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Solution

The fourth proportional to 686.48, 1,029.09 and 275.54 is: 413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.48 : 1,029.09 = 275.54 : x
  2. Step 2: Convert to fraction form
    686.48/1,029.09 = 275.54/x
  3. Step 3: Cross multiply
    686.48x = 1,029.09 × 275.54
  4. Step 4: Simplify right side
    686.48x = 283,555.46
  5. Step 5: Solve for x
    x = 283,555.46/686.48
  6. Step 6: Final answer
    x = 413.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.